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Finding the Fourth Proportional to 6,813.85, 9,400.68 and 4,457.35

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Solution

The fourth proportional to 6,813.85, 9,400.68 and 4,457.35 is: 6,149.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.85 : 9,400.68 = 4,457.35 : x
  2. Step 2: Convert to fraction form
    6,813.85/9,400.68 = 4,457.35/x
  3. Step 3: Cross multiply
    6,813.85x = 9,400.68 × 4,457.35
  4. Step 4: Simplify right side
    6,813.85x = 41,902,121.00
  5. Step 5: Solve for x
    x = 41,902,121.00/6,813.85
  6. Step 6: Final answer
    x = 6,149.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.